7(x-1)+2(5-6x)=-12

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Solution for 7(x-1)+2(5-6x)=-12 equation:


Simplifying
7(x + -1) + 2(5 + -6x) = -12

Reorder the terms:
7(-1 + x) + 2(5 + -6x) = -12
(-1 * 7 + x * 7) + 2(5 + -6x) = -12
(-7 + 7x) + 2(5 + -6x) = -12
-7 + 7x + (5 * 2 + -6x * 2) = -12
-7 + 7x + (10 + -12x) = -12

Reorder the terms:
-7 + 10 + 7x + -12x = -12

Combine like terms: -7 + 10 = 3
3 + 7x + -12x = -12

Combine like terms: 7x + -12x = -5x
3 + -5x = -12

Solving
3 + -5x = -12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -12 + -3
-5x = -12 + -3

Combine like terms: -12 + -3 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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